Goodness of Fit for Random Subsets

trial

population size

5

sample size

2

samples

1000

2-subsets of {1, …, 5}

This Demonstration performs a

2

χ

goodness-of-fit test on a set of random samples of a given sample size from a finite population. The count for each subset is indicated by a point; the expected value is indicated by the horizontal line. Tooltips on each show the values. The "trial" slider controls a seed for the random number generator, and gives a new set of samples for each value. The

P

-value (

P

) is the probability that another set of truly random samples would be as far or farther away from the expected value (as measured by

2

χ

).